If you let x represent the number of free throws.
let y represent the number of two-point field goal.
let z represent the number of three-point shots made.
Then the correct system of linear equations is as follows:
x + 2y + 3z = 29 (The total number of points scored is 29.)
z = 3x - 29 (The number of 3-pointers was 29 less than 3 times the number of free throws.)
2y = z + 15 (Twice the number of 2-point shots made was 15 more than the number of 3-pointers.)
Solution:
This basketball player scored 10 points via free throws (10 at 1 point each), 16 points via 8 two-point shots made, and 3 points via 1 three-point shots made. So, in the choice its letter D.
Answer:
the answer is 1
Step-by-step explanation:
If these points lie on the same line or coincides. then there are dozens of planes, passing through these points. If these point don't lie on the same line, then there is unique plane, which passes through these points.
Answer:
x = -2 or x = -1/2
Step-by-step explanation:
We can just set up an equation where the quadratic is equal to -10, and then solve the equation:

Now, factor:

Answer:
Ratio of their perimeters is 6:7
Step-by-step explanation:
Ratio of Area of Hexagon = 36: 49
We need to find ratio of their perimeters
The formula used to find Area of Hexagon is: 
So, we can write:

So, we get a₁=6 and a₂=7
Now, finding ratio of perimeters:
The formula used is:

Ratio will be:

So, Ratio of their perimeters is 6:7